Seminarium Nieliniowość i Geometria
sala 0.06, ul. Pasteura 5
2018-03-21 (13:15) 
Mariusz Białecki (Instytut Geofizyki PAN)
Solvable Probabilistic Cellular Automaton on Bethe Lattice
We introduce an extension of Drossel-Schwabl forest-fire model, namely the Random Domino Automaton model, on Bethe lattice with emphasis on coordination number 3, for which we state respective notion and derive a set of equations describing its stationary state in mean-field approximation, and solve the system for specific family of parameters related to smooth transition between exponential and inverse power distributions of avalanches sizes.